Prentice Hall Web Site for Assistance,etc. (This only works with Internet Explorer) Course Assignments: Text Problem lists (Most recent) Course Daily Schedule Plan (subject to change) Precalculus (and Calculus) websites Math 095 modules at CSU Northridge (ALG II w/ geometry) Algebra topics at the Purple Math website Visual Calculus (Univ. of Tenn.) some precalculus tutorials, etc. D.E. Joyce's short introduction to Trigonometry (java and web based) New! Dave's Short Course on Complex Numbers This is an introduction to complex numbers (mathematics and a little bit of history as well). Trig Java Applets Excellent Java applets that dynamically illustrate trigonometry.(International Education Software) Want to find out what your learning style is?
Here are two interesting learning styles inventories on the web: (1) NC State (2) Diablo Valley College .Success in Mathematics (St.Louis University) NEW! "How to suck up to your teacher." Homework Guidelines for Mathematics from Purple Math Winplot (freeware for PC's that we will use) may be downloaded from Rick Parris's website or directly from Winplot . Notes for Winplot authored by Al Lehnen (Madison Area Technical College in Madison, Wisconsin)
Back to Martin Flashman's Home Page :)
Reality Quizzes 17 Best 6 scores  600 points 
Reality Quiz 8  100 points 
Homework  200 points 
Final Examination  400 or 600 points 
Total  1300 or 1500 points 
You may use my office hours for some additional work on these background areas either as individuals or in small groups. My office time is also available to discuss routine problems from homework after they have been discussed in class, reality check quizzes, as well as using technology.
Math 99 has beenreinstalled!!! for summer 2004. [6104] You may consider registering for Math 99 Tutoring for Math 115. This
is a 2 unit, credit/no credit "course" that provides generous tutorial
assistance paid for by your registration. If you can afford the units,
this is a good way to get help on specific problems.
Regular use of my time outside of class or Math 99 should be especially
useful for students having difficulty with the work and wishing to improve
through a steady approach to mastering skills and concepts.


Tuesday 


I. Introduction: Backgrounds and Key concepts  61 Introduction
What are Numbers? Comparing Numbers:=,< Number Operations, equations. (1.4) [Cont'd on Wed.!] 
62 Sensible
Precalc Ch 1.A Visualizing: numbers & intervals. Sqr(2) is not a rational #. The Pythagorean theorem. Proofs of the Pythagorean Theorem [Over 30 proofs !] [Many Java Applets proofs ] 
63 Solving linear inequalities (1.5) Algebra review. App. A.1 Visualizing variables and plane coordinate geometry. 

II. Beginning FunctionsCore functions and concepts.
Begin Right Triangle Trig 
67 Plane Coordinates. More Geometry review: Midpoints. Similar triangles. Slopes of lines. Review Polynomials. A.3 (Factoring) 
68 More on graphs. Circles and Lines.  What's a function? More on functions.
and linear functions. Practice Quiz 
Graphs and mapping figures. Other function qualities. Quiz #1  OnBlackboard Due by Tuesday 9 PM 

III. Triangle Trig  614 Review of Key Triangles. Overview of Core: trigonometric for Right Triangles Solving Right triangles. A.9 Properties of roots and exponents. 
Overview of Core: algebraic Secant lines and Linear Interpolation. Triangle trig: Inverse trig acute 
Primary Descriptive features of functions.
Law of Sines. Abs. value inequalities Sine for obtuse angles. 
More law of sines
More Inverse trig (sine obtuse). Lab: Graphing Functions with Winplot. 

IV. Exponential functions  621 Radian measure and circles in general.
Symmetry [wrt axes.] 
Quiz #2 online due by 9pm Wed. Piecewise functions Lab: Graphing and Trig Applets.? Trig for obtuse angles. Trig functions for all angles (sine and cosine) 
Trig functions for all angles
Start Law of cosines. Exponential Functions. Compound interest? 4.6(I) Exponential functions and graphs.What is e? 4.2 
Composed Mapping figures. More on law of cosines. Applications of triangle trig 

V. Logarithmic functions  More on Exponential Applications compound interest and growth. , 
4.8
Logarithms: Introduction and definition.
Graphs of exponential, logarithmic Basic properties of logs... and applications and exponentssolving equations. 
Quiz #3 online due 9pm 7504 More on properties of logs and exponents 
The big picture on functions: Core functions and elementary functions Inverse tangent function. Graphs of sin and cos 

I.Trig function graphs  NO Class July 4 Holiday 
sine & cosine functions.[LAB ] More on graphs of trig functions. More on Radian measure Circular Motion. 
graphs of tan and sec. Logarithmic calculations in equations and computations. . 
Quiz #4 online due by 9 pm 712 Models using Exponential Functions More on graphs and basic properties of trig functions. Graphs of tan and sec. 

VII.Trig Equations
Trig Identities 
Begin Trig Identities
Begin trig equations and review of inverse trig functions Logarithmic scales.Slide rules ? 
Slide rules Log scales and graphs. More exponential models. [***LAB ***] 
Trig equations and review of
inverse trig functions (Asin and Acos) Brief look at The Logistic More on graphs of trig functions, identities and equations. 
Quiz #5 NOW IN CLASS! More equations. 

VIII.  Graphs for inverse trig.
Addition formulae 
More on Trig Identities: double angles!

Quiz #6 In class Double and half angles 
Product to sum trig.Other Trig identities.  . 
IX.Polynomial and Rational Functions 
Quiz #7 on line Translation and scales for quadratics and 1/x. 
More on quadratics. Graphs of polynomials Complex numbers and trig More Trig functions and equations: graphs and elementary functions Begin Rational functions 
Long division and factors of polys. Roots and more on Polynomials. 
More on Complex
Numbersand trig and complex roots! . MORE Polynomials rational, real and complex roots! Intermediate value theorem. Bisection and Secant methods for estimating roots. Rational functions.Asymptotes. Difference quotients. 

X. PreCalculus!  Quiz #8
in class More on rational functions. Combining trig Functions lines review. Putting functions together. Composition & Inverse functions 
Final comments on functions algebraic and trignometric.
"Tangents to graphs for logs and exponential functions. "?? A precalculus view. Graphs using logarithmic scales.Example of using log and exp:log and loglog scales. 
Final Exam Part I
(40 minutes on Log and exponential functions.) 
Final Exam Part II (80 minutes with very little from Part I) 
Due Date 
Reading 
CD Viewing 
Assignments 
Special Instructions & Interesting but Optional  
HW #1 62 
1.4  Intro to Solving Equations.[9min] Solving a Linear Equaton. [8 min] 
p43: 1325 odd  
63 
Sensible Precalc Ch 1.A and Sensible Precalc Ch 1.B.1  Inequalities Intro to Solving Inequalities 

HW #2 67 
1.5 Ch 1.B.1 A.1 
Using the Cartesian System Finding the Distance between two Points. 
p56:
1359 odd Ch 1.B.1: 1(a,b), 37, 10, 14 A.1 : 7,10,13,...43, 46 ( Every 3rd problem.) 
Ch
1.B.1: 1c, 2, 16 CD: Circles. 

HW #3 68 
A.2 read only.
Similar Triangles A.3. 1.4 1.1 
Rationalizing Denominators Factoring....(what you want..) Triangles 
A.3 : 3,11,19,27,39,47 1.4: 31,41, 89 p9:
1, 3; $$49, 29; 39

$$ For exercises 49 and 29, replace the
given instructions by
a. plot the given points. c. determine and plot the midpoint  
HW #4 69 
1.6 Sensible Precalc Ch 1.B.2 Read! 
Circles Graphing Equations Equations of a line. 
p19:
1, 5, 7, 8, 13, 19, 23
p73:
71, 73, 59, 65, $$ 35, 39, 47, 53

$$For problems 35, 39, 47, 53, Give the equation
in slope intercept form and draw a graph and a transformation figure for
the given information.  
HW #5 610 
2.1 1.6 
Function Basics Linear Functions slope 
p96:
13abc, 15abc, 47, 85, 80 1.6 p73:2733 odd; 89,93 

HW #6 614 
2.2 read only pp101102, 107108 2.1 
Function Basics Linear Functions slope 
p108:
1, 3, 5, 7, 31 p 111: 33, 35 p 96: 61, 63, 67, 69 

HW #7 615 
A.9 7.1 Only pp 528529 2.3 Only pp112115 
Right Angle Trig. Intro, Evaluating. 
p 1064: 1,7,25,31,33,36 p536: $$(14) Do the reading FIRST! p123: 25,28,35 
$$ For 14 Find sine, cosine, and tangent for the given angle in the triangles.  
HW #8 616 
7.1 Read pp530532 1.5 pp5355 
Absolute Values Solving equations, Solving inequalities, Right Angle trig.Finding an angle...,Using trig..., finding the height... 
p 1064: 4146, 53,57 p536: 58, 21, 23, 35, 41 p57: 7385 odd 

HW #9 617 
2.3 7.2 pages 539542 
Function BasicsNotation Working w/funcions determining intervals... Function Domain and Range Finding... The Law of Sines The law...Solving a triangle... 
p536: 22,26,27, 37, 42, 43, 47, 52 p122: 11, 13, 14, 15, 17 p 547: 13, 5, 15, 29, 33 

HW #10 621 

The Law of Sines Solving a triangle...  p 547: 9,11,13,17,23, 24, 31,39  
HW #11 622 
2.3 pp118121 5.1 pp 368372 
Angles and radian Measure: Finding the quadrant...Converting... 
p536: 31,33, 39, 49, 57, 61 p379: 1 35 odd 
For LAB p123:3743.  
HW #12 623 
2.4 p128131 
The trig functions: trig functions of important angles Graphing Functions: graphing piecewise... 
p132:15,16,19,27 p 395: (1,3,7 find sine and cosine only), 9,10, 23,(39, 43 find sine and cosine only) 

HW #13 624 
7.3 through Ex. 1 
p 395: 1,3,7, 39, 43find tangent and secant only p 297: 15, See $$ for 1922,25 p555: 13, 25 
$$ For 1922,25:Ignore the text instruction. For each function make a table of values, a transformation figure, and a graph.  
HW #14 628 
4.2 7.3 Ex.2&3 
Exponential Functions: Intro to, Graphing... Useful... and More... The Law of cosines: The law.., (SAS), SSS 
p 297: 4, 5, 1118,37, 38; $$2934 p555: 7, 13, 21, 27, 28, 31 
$$ For 2934:Ignore the text instruction. For each function make a table of values, a composed transformation figure, and a graph.  
HW#15 629 
4.2 4.6 pp327330 
The number e: e Applying Exponential Functions; using properties... 
p 297: 7, 9, 65, 42, 61 p335: 1, 3,5, 7, 9, 21, 25, 27, 11 

HW#16 630 
4.3
pp301304 4.6 p335 Ex.2 
Logarithmic functions: Intro, Converting 
p310:
1, 11, 13, 19, 24  31, 35, 36, 97,99 p 336: 33 
 
HW#17 71 to 76 
4.3 pp307308
4.4 5.4 pp414419 2.5 pp148151 
Properties of Logs Evaluating Logs Solving Exponential and Log equations Applying ... Compund interest Composite Functions: Operations...,composite...,Components of.. 
p310: 3739,42,43,47,48;
8594,101, 103,111 p321:3, 5, 6, 9, 25, 31, 39, 45, 51; 61, 62 p155: 1,5 

HW#18 77 
5.4 
Graphing Sine and Cosine:: Intro..., Graphing Graphing .. with shifts: ... phase shifts. Fancy... 
p 426: $$ (13,17, 21), 3947 
$$ For 13, 17, and 21:Ignore the text instruction. For each function make a table of values, a composed transformation figure, and a graph.  
HW #19 78 
5.5 
Solving Exponential and Log equations Graphing other trig: ... the Tangent... 
p311: 85, 87, 91, 93; p327: 1, 5, 9, 11, 12 p 435: 114 p 426: 110, $ (2933 odd), $$( 15, 24, 53) 
$ For 2933 odd :Ignore the text instruction.
Graph each function.
$$ For 15, 25, and 53: Ignore the text instruction. For each function make a table of values, a composed transformation figure, and a graph.  
HW #20 712 
5.3
5.1 p3773785.5 5.6: pp437440 4.7 
Word problems involving Growth and Decay; Introduction Angles and radian Measure: Uing the arc Length Formula Graphing Sine..: Fancy Graphing: Changes in period... 
p411: 1  7odd,1723 odd p446: 1,3,13, 17 p380: 81,87,89,97,99 p347: 1, 2, 3 

HW #21 713 
5.3 
Basic Trig Identities: Fundamental... Proving Trig Identities: Proving... 
p396: 7375 p411: 6777odd;4953; 103104 

HW #22 714 
4.7 6.3 pp477478 6.1: pp 458465 
Word problems involving growth: Intro to expon...,Half Life Newton's Law of Cooling 
p347: 5, 9, 11 p480:110 p468: 111 odd, 1315, 45, 47 
 
HW #23 715 
6.3 6.7 pp 507509 
p511: 15 p 480: 11,14,17,20,...,41 (every 3rd problem), 81, 85 

HW #24 719 
6.3 6.7 
Solving trig Equations: Solving... 
p 511: 1119 odd, 3537 p480: 51, 54, 57,... , (every 3rd problem) ,78 

HW#25 720 
6.2 pp470472 6.4 pp482486 
Inverse Trig Functions: An Intro..., Evaluating the composition... The Sum and Difference Identities: Identities... 
p468: 2527, 3335,49
p474: 19odd; 13,19 
Look at This PAGE on the web!  
HW #26 721 
6.4 pp482486 6.5 pp493494 
DoubleAngle Identities: Confirming..., Using.... 
p 491: 14, 1321 odd p501: [1, 2, 7 DO a and b only]. 
great web resource for trig with java (manipula math products)  
HW#27 722 
6.5. pp498500 
p 491: 23,24,31,32,41 p501: [1,2,7] DO c and d only. 13,14, 51,53, 59, 60 

HW#28 726 
6.6 pp503504  p505:1,2 p 491: 7, 43, 53, 55, 59, 81 p 501: 15, 45, 67 

HW#29 727 
2.4 2.5 3.1 pp174182 A3 Polynomial algebra (Review!) 
Quadratic Functions Basics 
p145: 112, 23, 41, 51, 63ef p189: 18, 9,11,13,15,2528 p 1012: 3, 11,19,23,27,35 ,39,47, 63 
 
HW#30 728 
3.1 pp182187
3.2 pp 195198 middle A7 Complex Numbers, etc. 
Quadratic functions The vertex. Quadratic Equations and the Quadratic Formula 
p 189: 31,33,37,43,49,53,55,65, 69,73,81 p211: 113 

HW #31 729 
A5 Polynomial Division 3.3 pp203205 (zeroes and multiplicity on graphs) 3.7 pp245247(remainder and factor theorems) 
Polynomials Long Division The remainder Theorem The factor Theorem 
p211: 113 p 1028: 15, 1921, 23, 24 p211 : 17, 18, 1925odd (a,b only), 65 p257:15,73 

HW#32 82 
2.1 3.7 3.8 3.4 
p99: 7379, 83,85 p263:15 odd, 11, 17, 35, 36 
read more online about Complex Numbers or App.7  
Inventory 


85  
5.1 pp 372377  p379: 3739, 4547, 53, 55  
4.6 pp331335 (New 7203)  p336: 11,29,37,47  
4.4  p321: 75, 77, 79  
4.5  p311: 98; p327: 17, 19, 21, 23, 29; 13, 15  
4.5  p327: 3, 14, 49, 53  
4.7  p347: 4, 12a,b,c, 13a,b,c, 15a  
REVIEW  p361: 11,1316, 2124,27,31,33,35,39,$$(43,51), 53,59,79,83  $$ For 43 and 51: Ignore the text instruction. For each function make a table of values, a composed transformation figure, and a graph.  

p 426: 110, $ (2933 odd), $$( 15, 24, 53)  $ For 2933 odd :Ignore the text instruction.
Graph each function.
$$ For 15, 25, and 53: Ignore the text instruction. For each function make a table of values, a composed transformation figure, and a graph.  

p435: 110; 19, 21, 23, 35  
5.3 pp399404;409410  

p452:111 odd, 47, 48, 59, 60, 79, 83, 85
p574: 19, 21, 51 

5.6: pp437440 
p446: 1,3,13, 17  
6.2 
p468: 2527, 3335,49
p474: 19odd; 13,19 




p 480: 110
p474:29, 33, 37 

6.8 pp513514  p518: 1, 3,4,7  
3.7 p248251 (rational and real roots)  p257: 1117 odd, 29, 53  
3.7 pp2556  p258: 33,35,63, 65  
3.8  p263:15 odd, 11, 17, 35, 36  
3.4  p224: 17 odd; $$ (23, 29,30, 31); 35  $$ For 23, 29, 30, and 31 : Ignore the text instruction.
For each function make a table of values, a composed transformation figure,
and a graph.
read more online about Complex Numbers or App.7  
2.3  p 123: 2535 odd; 5965 odd  
4.1 inverses  p284: 15,911, 1517, 2125odd,3139 odd  
1.5
3.5 
p. 57: 67, 69
p 234: 1,9, 27 

Review  p167: 13,7,18,19, 23,29,35, 61,65,67  
Review for Final  p 580: 1,3,4,5,6,8,9,11,12,13  
5.4 p419425  p427: 4956; 6365; 85,86  
2.5  p145: 1722, 25ab, 33, 37, 39, 55, 63abcd  

p189:
18, 25, 29, 33, 35, 37, 73



p155:
1, 5, 13, 19, 35, 51



p285:
15, 21, 31, 33, 35, 55, 61



p194:
87, 75; p163: 1, 13, 23
